Question

two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. which statement is true about angles 3 and 5? they are acute. they are congruent. they are complementary. they are supplementary.

Explanation:

Step1: Recall angle - relationship rules

When two parallel lines are intersected by a transversal, vertical - angles are congruent and adjacent angles on a straight - line are supplementary. Angle 1 and angle 3 are vertical angles, so $\angle1=\angle3$. Given that $\angle1 = \angle5$.

Step2: Substitute and find the relationship between $\angle3$ and $\angle5$

Since $\angle1=\angle3$ and $\angle1 = \angle5$, we can substitute to get $\angle3=\angle5$.

Answer:

They are congruent.